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Two numbers, when divided by 17, leaves remainder 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be :
- a)13
- b)11
- c)7
- d)4
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two numbers, when divided by 17, leaves remainder 13 and 11 respective...
(dividend = divisor×quotient + remainder)
First no. = (17 × n) + 13
Let 'n' = 1
⇒ (17×1) + 13
⇒ 30
Second no. = (17×n) + 11
= (17 × 1) + 11 = 28
According to question
Alternate : Divisor = Remainder 1 + Remainder 2 – Remainder 3
Remainder 3 = 24 – 17 = 7
First no. = (17 × n) + 13
Let 'n' = 1
⇒ (17×1) + 13
⇒ 30
Second no. = (17×n) + 11
= (17 × 1) + 11 = 28
According to question
Alternate : Divisor = Remainder 1 + Remainder 2 – Remainder 3
Remainder 3 = 24 – 17 = 7
Most Upvoted Answer
Two numbers, when divided by 17, leaves remainder 13 and 11 respective...
**Solution:**
Let's assume the two numbers as 'a' and 'b'.
Given:
- When 'a' is divided by 17, the remainder is 13. Hence, we can write 'a' as 17x + 13.
- When 'b' is divided by 17, the remainder is 11. Hence, we can write 'b' as 17y + 11.
**Finding the sum of the two numbers:**
The sum of the two numbers can be written as:
Sum = a + b = (17x + 13) + (17y + 11) = 17(x + y) + 24
**Finding the remainder when the sum is divided by 17:**
To find the remainder when the sum is divided by 17, we need to divide the sum by 17 and find the remainder.
Sum = 17(x + y) + 24
Dividing both sides by 17:
Sum/17 = (17(x + y) + 24)/17
Sum/17 = (x + y) + 24/17
Since x and y are integers, (x + y) is also an integer. Therefore, we can ignore the integer part and focus only on the remainder.
The remainder when 24/17 is divided will determine the remainder when the sum is divided by 17.
**Finding the remainder when 24/17:**
24 divided by 17 gives a quotient of 1 and a remainder of 7.
Hence, the remainder when 24 is divided by 17 is 7.
Therefore, the remainder when the sum of the two numbers is divided by 17 is 7.
Hence, the correct answer is option 'c' (7).
Let's assume the two numbers as 'a' and 'b'.
Given:
- When 'a' is divided by 17, the remainder is 13. Hence, we can write 'a' as 17x + 13.
- When 'b' is divided by 17, the remainder is 11. Hence, we can write 'b' as 17y + 11.
**Finding the sum of the two numbers:**
The sum of the two numbers can be written as:
Sum = a + b = (17x + 13) + (17y + 11) = 17(x + y) + 24
**Finding the remainder when the sum is divided by 17:**
To find the remainder when the sum is divided by 17, we need to divide the sum by 17 and find the remainder.
Sum = 17(x + y) + 24
Dividing both sides by 17:
Sum/17 = (17(x + y) + 24)/17
Sum/17 = (x + y) + 24/17
Since x and y are integers, (x + y) is also an integer. Therefore, we can ignore the integer part and focus only on the remainder.
The remainder when 24/17 is divided will determine the remainder when the sum is divided by 17.
**Finding the remainder when 24/17:**
24 divided by 17 gives a quotient of 1 and a remainder of 7.
Hence, the remainder when 24 is divided by 17 is 7.
Therefore, the remainder when the sum of the two numbers is divided by 17 is 7.
Hence, the correct answer is option 'c' (7).
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Two numbers, when divided by 17, leaves remainder 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be :a)13b)11c)7d)4Correct answer is option 'C'. Can you explain this answer?
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Two numbers, when divided by 17, leaves remainder 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be :a)13b)11c)7d)4Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Two numbers, when divided by 17, leaves remainder 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be :a)13b)11c)7d)4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbers, when divided by 17, leaves remainder 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be :a)13b)11c)7d)4Correct answer is option 'C'. Can you explain this answer?.
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